Question

in a triangle prq qr is extend to s if angle prs 150 degrees and rp is equal to rq find all the angles

Answer 1

Hope this will help u...

Answer 2

Answer:

let us take qr the base of the triangle.

Step-by-step explanation:

as we know ext. angle = sum of opp. sides of triangle

therefore, ext. angle prs  =   angle pqr + angle rpq

angle pqr + angle rpq = 150   ........(i)

in triangle pqr

pqr + rpq + prq = 180

prq + 150 = 180     (using i)

prq = 180- 150= 30

also rq and rp are equal

so prq = pqr = 30

so qpr = 180 - 30 +30 = 120